Monte Carlo samples have been produced to estimate the efficiency for the detection of the \( \overline{\Lambda \mathrm {n}}\)  bound state and the H-dibaryon. The kinematical distributions of the hypothetical bound states were generated uniformly in rapidity \(y\)  and in transverse momentum \(p_{\mathrm {T}}\) . In order to deal with the unknown lifetime, different decay lengths are investigated, ranging from 4 cm up to 3 m. The lower limit is determined by the secondary vertex finding efficiency and the upper limit by the requirement that there is a significant probability for decays inside the TPCFor the H-dibaryon there is also a theoretical maximal decay length calculated for the investigated decay channel [1]}. (the final acceptance\(\times \) efficiency drops down to 1% for the \( \overline{\Lambda \mathrm {n}}\)  and \(10^{-3}\)  for the H-dibaryon).
The shape of transverse momentum spectra in heavy-ion collisions is described well by the blast-wave approach, with radial flow parameter \( \langle \beta \rangle \)  and kinetic freeze-out temperature \(T_\mathrm {kin}\)  as in [2]}. The true shape of the \( p_{\mathrm {T}}\)  spectrum is also not known, therefore it is estimated from the extrapolation of blast-wave fits to deuterons and \( ^{3}\mathrm {He}\)  spectra at the same energy [3]}. To obtain final efficiencies, the resulting blast-wave distributions constructed for the exotic bound states are normalised to unity and convoluted with the correction factors (efficiency \( \times \)  acceptance).
